A complex surface admitting a strongly plurisubharmonic function but no holomorphic functions
Complex Variables
2015-01-16 v2
Abstract
Answering an old question, we find a domain X in the complex projective plane CP^2 which admits a strongly plurisubharmonic function, but such that every holomorphic function on X is constant. The domain X can be chosen diffeomorphic to an oriented real 2-plane bundle over the 2-sphere.
Cite
@article{arxiv.1210.8121,
title = {A complex surface admitting a strongly plurisubharmonic function but no holomorphic functions},
author = {Franc Forstnerič},
journal= {arXiv preprint arXiv:1210.8121},
year = {2015}
}
Comments
J. Geom. Anal., in press